四项式的临界圆与无零曲线的图象
The Image of Critical Circle and Zero-free Curve for Quadrinomials
摘要:
两参数复值调和四次多项式族的零点位置依赖于参数。本文确定并证明了某些临界圆在这类双参数复调和四项式下的象是内摆线。我们还确定了二参数二次四元多项式族的无零曲线。
英文摘要:
The location of the zeros of a two-parameter family of complex-valued harmonic quadrinomials depends on the parameters. In this paper, we determine and demonstrate that the image of some critical circle under these two-parameter family of complex-valued harmonic quadrinomial is a hypocycloid. We also determine a zero-free curve for two-parameter family of quadratic qudrinomial.
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